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Add: 3(1)/(2)+4(1)/(4)+(3)/(5)

Add:\newline3(12)+4(14)+(35)3\left(\frac{1}{2}\right)+4\left(\frac{1}{4}\right)+\left(\frac{3}{5}\right)

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Full solution

Q. Add:\newline3(12)+4(14)+(35)3\left(\frac{1}{2}\right)+4\left(\frac{1}{4}\right)+\left(\frac{3}{5}\right)
  1. Convert to Improper Fraction: Convert mixed number to improper fraction. 414=(4×4+1)/4=1744 \frac{1}{4} = (4\times4 + 1)/4 = \frac{17}{4}
  2. Find Common Denominator: Find a common denominator for 32\frac{3}{2}, 174\frac{17}{4}, and 35\frac{3}{5}.\newlineCommon denominator = 2020.\newline32=3020\frac{3}{2} = \frac{30}{20}, 174=8520\frac{17}{4} = \frac{85}{20}, 35=1220\frac{3}{5} = \frac{12}{20}
  3. Add Fractions: Add the fractions. 3020+8520+1220=12720\frac{30}{20} + \frac{85}{20} + \frac{12}{20} = \frac{127}{20}

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